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InternBootcamp/examples/data/InternBootcamp_eval/futoshiki.jsonl
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{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ 2 _]\n[3 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 2) 下方的单元格应满足: <\n3. 单元格(1, 0) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 2, 0], [3, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[4 3 _ _]\n[2 _ 3 _]\n[_ _ _ _]\n[1 _ _ 3]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: <\n3. 单元格(1, 1) 下方的单元格应满足: >\n4. 单元格(1, 2) 右边的单元格应满足: >\n5. 单元格(2, 1) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[4, 3, 0, 0], [2, 0, 3, 0], [0, 0, 0, 0], [1, 0, 0, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[1 _ _]\n[_ _ 1]\n[_ _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 1) 下方的单元格应满足: >\n4. 单元格(0, 2) 下方的单元格应满足: >\n5. 单元格(1, 0) 下方的单元格应满足: >\n6. 单元格(1, 1) 右边的单元格应满足: >\n7. 单元格(1, 2) 下方的单元格应满足: <\n8. 单元格(2, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[1, 0, 0], [0, 0, 1], [0, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ 2 3]\n[_ _ _]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: <\n2. 单元格(2, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 2, 3], [0, 0, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ _ 5 _ 3 _]\n[3 1 _ 6 5 _]\n[5 2 _ 1 4 _]\n[_ 3 1 4 _ 5]\n[6 _ _ _ 1 4]\n[_ 4 6 5 _ 3]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 2) 右边的单元格应满足: >\n4. 单元格(0, 3) 下方的单元格应满足: <\n5. 单元格(1, 0) 右边的单元格应满足: >\n6. 单元格(1, 1) 右边的单元格应满足: <\n7. 单元格(1, 1) 下方的单元格应满足: <\n8. 单元格(1, 2) 右边的单元格应满足: <\n9. 单元格(1, 3) 右边的单元格应满足: >\n10. 单元格(1, 4) 右边的单元格应满足: >\n11. 单元格(1, 5) 下方的单元格应满足: <\n12. 单元格(2, 1) 右边的单元格应满足: <\n13. 单元格(2, 2) 右边的单元格应满足: >\n14. 单元格(2, 4) 右边的单元格应满足: <\n15. 单元格(2, 5) 下方的单元格应满足: >\n16. 单元格(3, 0) 右边的单元格应满足: <\n17. 单元格(3, 2) 右边的单元格应满足: <\n18. 单元格(3, 3) 下方的单元格应满足: >\n19. 单元格(3, 4) 下方的单元格应满足: >\n20. 单元格(3, 5) 下方的单元格应满足: >\n21. 单元格(4, 0) 右边的单元格应满足: >\n22. 单元格(4, 0) 下方的单元格应满足: >\n23. 单元格(4, 1) 右边的单元格应满足: >\n24. 单元格(4, 2) 右边的单元格应满足: <\n25. 单元格(4, 2) 下方的单元格应满足: <\n26. 单元格(4, 3) 右边的单元格应满足: >\n27. 单元格(4, 3) 下方的单元格应满足: <\n28. 单元格(4, 5) 下方的单元格应满足: >\n29. 单元格(5, 0) 右边的单元格应满足: <\n30. 单元格(5, 1) 右边的单元格应满足: <\n31. 单元格(5, 2) 右边的单元格应满足: >\n32. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 0, 5, 0, 3, 0], [3, 1, 0, 6, 5, 0], [5, 2, 0, 1, 4, 0], [0, 3, 1, 4, 0, 5], [6, 0, 0, 0, 1, 4], [0, 4, 6, 5, 0, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": ">"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[1 _ 3 5 2 4]\n[5 _ 4 _ 6 3]\n[_ _ 2 _ _ _]\n[4 1 6 _ 5 _]\n[_ _ 5 _ _ 1]\n[2 4 1 6 3 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 2) 右边的单元格应满足: <\n4. 单元格(0, 2) 下方的单元格应满足: <\n5. 单元格(0, 4) 右边的单元格应满足: <\n6. 单元格(0, 5) 下方的单元格应满足: >\n7. 单元格(1, 1) 右边的单元格应满足: <\n8. 单元格(1, 2) 右边的单元格应满足: >\n9. 单元格(1, 3) 右边的单元格应满足: <\n10. 单元格(1, 4) 右边的单元格应满足: >\n11. 单元格(1, 4) 下方的单元格应满足: >\n12. 单元格(1, 5) 下方的单元格应满足: <\n13. 单元格(2, 1) 右边的单元格应满足: >\n14. 单元格(2, 2) 右边的单元格应满足: <\n15. 单元格(2, 2) 下方的单元格应满足: <\n16. 单元格(2, 4) 右边的单元格应满足: <\n17. 单元格(2, 4) 下方的单元格应满足: <\n18. 单元格(3, 0) 右边的单元格应满足: >\n19. 单元格(3, 1) 右边的单元格应满足: <\n20. 单元格(3, 2) 下方的单元格应满足: >\n21. 单元格(3, 3) 右边的单元格应满足: <\n22. 单元格(3, 4) 右边的单元格应满足: >\n23. 单元格(4, 0) 右边的单元格应满足: >\n24. 单元格(4, 2) 下方的单元格应满足: >\n25. 单元格(4, 3) 右边的单元格应满足: <\n26. 单元格(4, 3) 下方的单元格应满足: <\n27. 单元格(4, 4) 右边的单元格应满足: >\n28. 单元格(5, 1) 右边的单元格应满足: >\n29. 单元格(5, 2) 右边的单元格应满足: <\n30. 单元格(5, 3) 右边的单元格应满足: >\n31. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[1, 0, 3, 5, 2, 4], [5, 0, 4, 0, 6, 3], [0, 0, 2, 0, 0, 0], [4, 1, 6, 0, 5, 0], [0, 0, 5, 0, 0, 1], [2, 4, 1, 6, 3, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": ">"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 4 2 _]\n[4 _ _ _]\n[3 _ _ 2]\n[_ _ _ 4]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 2) 右边的单元格应满足: <\n3. 单元格(1, 0) 下方的单元格应满足: >\n4. 单元格(1, 1) 右边的单元格应满足: <\n5. 单元格(1, 2) 下方的单元格应满足: <\n6. 单元格(2, 2) 右边的单元格应满足: >\n7. 单元格(2, 3) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 4, 2, 0], [4, 0, 0, 0], [3, 0, 0, 2], [0, 0, 0, 4]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[1 _ 4 3 _ _]\n[_ 4 3 2 5 _]\n[5 _ _ 4 3 2]\n[2 5 _ 6 _ 3]\n[_ _ 5 _ 6 _]\n[4 3 2 5 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: >\n3. 单元格(0, 2) 下方的单元格应满足: >\n4. 单元格(0, 4) 右边的单元格应满足: <\n5. 单元格(0, 4) 下方的单元格应满足: <\n6. 单元格(0, 5) 下方的单元格应满足: >\n7. 单元格(1, 0) 右边的单元格应满足: >\n8. 单元格(1, 0) 下方的单元格应满足: >\n9. 单元格(1, 1) 右边的单元格应满足: >\n10. 单元格(1, 1) 下方的单元格应满足: >\n11. 单元格(1, 2) 右边的单元格应满足: >\n12. 单元格(1, 3) 右边的单元格应满足: <\n13. 单元格(1, 4) 下方的单元格应满足: >\n14. 单元格(2, 1) 右边的单元格应满足: <\n15. 单元格(2, 2) 下方的单元格应满足: >\n16. 单元格(2, 3) 右边的单元格应满足: >\n17. 单元格(2, 4) 右边的单元格应满足: >\n18. 单元格(2, 4) 下方的单元格应满足: <\n19. 单元格(2, 5) 下方的单元格应满足: <\n20. 单元格(3, 0) 右边的单元格应满足: <\n21. 单元格(3, 1) 下方的单元格应满足: >\n22. 单元格(3, 2) 下方的单元格应满足: <\n23. 单元格(3, 3) 右边的单元格应满足: >\n24. 单元格(3, 3) 下方的单元格应满足: >\n25. 单元格(3, 4) 右边的单元格应满足: >\n26. 单元格(4, 0) 下方的单元格应满足: <\n27. 单元格(4, 1) 右边的单元格应满足: <\n28. 单元格(4, 1) 下方的单元格应满足: <\n29. 单元格(4, 2) 右边的单元格应满足: >\n30. 单元格(4, 2) 下方的单元格应满足: >\n31. 单元格(4, 3) 右边的单元格应满足: <\n32. 单元格(4, 3) 下方的单元格应满足: <\n33. 单元格(5, 0) 右边的单元格应满足: >\n34. 单元格(5, 3) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[1, 0, 4, 3, 0, 0], [0, 4, 3, 2, 5, 0], [5, 0, 0, 4, 3, 2], [2, 5, 0, 6, 0, 3], [0, 0, 5, 0, 6, 0], [4, 3, 2, 5, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": ">"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": "<"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[1 _ _ 2]\n[_ _ 1 3]\n[3 4 _ _]\n[_ _ _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(1, 0) 右边的单元格应满足: >\n4. 单元格(1, 1) 下方的单元格应满足: <\n5. 单元格(1, 2) 下方的单元格应满足: <\n6. 单元格(2, 1) 下方的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[1, 0, 0, 2], [0, 0, 1, 3], [3, 4, 0, 0], [0, 0, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 3]\n[_ _ _]\n[_ 1 _]\n\n不等式约束：\n1. 单元格(1, 0) 右边的单元格应满足: <\n2. 单元格(1, 0) 下方的单元格应满足: <\n3. 单元格(1, 1) 下方的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 3], [0, 0, 0], [0, 1, 0]], "inequalities": [{"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[1 4 _ 2]\n[_ _ _ 4]\n[_ _ 2 _]\n[2 _ _ _]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: >\n3. 单元格(1, 0) 右边的单元格应满足: >\n4. 单元格(1, 1) 下方的单元格应满足: <\n5. 单元格(1, 3) 下方的单元格应满足: >\n6. 单元格(2, 2) 下方的单元格应满足: <\n7. 单元格(3, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[1, 4, 0, 2], [0, 0, 0, 4], [0, 0, 2, 0], [2, 0, 0, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ 1 _]\n[1 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 1, 0], [1, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 1]\n[_ _ _]\n[_ _ 3]\n\n不等式约束：\n1. 单元格(1, 0) 下方的单元格应满足: <\n2. 单元格(1, 2) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 1], [0, 0, 0], [0, 0, 3]], "inequalities": [{"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[2 3 _ 4 _ _]\n[1 _ 3 _ _ 6]\n[_ 5 4 6 1 _]\n[_ _ 1 _ _ 5]\n[6 1 2 3 5 4]\n[5 4 _ _ 2 _]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(0, 2) 下方的单元格应满足: >\n4. 单元格(0, 3) 右边的单元格应满足: <\n5. 单元格(0, 4) 右边的单元格应满足: >\n6. 单元格(0, 4) 下方的单元格应满足: >\n7. 单元格(0, 5) 下方的单元格应满足: <\n8. 单元格(1, 0) 下方的单元格应满足: <\n9. 单元格(1, 1) 右边的单元格应满足: <\n10. 单元格(1, 3) 右边的单元格应满足: >\n11. 单元格(1, 3) 下方的单元格应满足: <\n12. 单元格(1, 4) 右边的单元格应满足: <\n13. 单元格(1, 4) 下方的单元格应满足: >\n14. 单元格(1, 5) 下方的单元格应满足: >\n15. 单元格(2, 0) 右边的单元格应满足: <\n16. 单元格(2, 1) 右边的单元格应满足: >\n17. 单元格(2, 1) 下方的单元格应满足: <\n18. 单元格(2, 2) 右边的单元格应满足: <\n19. 单元格(2, 2) 下方的单元格应满足: >\n20. 单元格(2, 4) 下方的单元格应满足: <\n21. 单元格(2, 5) 下方的单元格应满足: <\n22. 单元格(3, 0) 右边的单元格应满足: <\n23. 单元格(3, 0) 下方的单元格应满足: <\n24. 单元格(3, 1) 右边的单元格应满足: >\n25. 单元格(3, 1) 下方的单元格应满足: >\n26. 单元格(3, 2) 下方的单元格应满足: <\n27. 单元格(3, 3) 右边的单元格应满足: <\n28. 单元格(3, 4) 下方的单元格应满足: <\n29. 单元格(3, 5) 下方的单元格应满足: >\n30. 单元格(4, 0) 右边的单元格应满足: >\n31. 单元格(4, 1) 下方的单元格应满足: <\n32. 单元格(4, 2) 右边的单元格应满足: <\n33. 单元格(4, 4) 下方的单元格应满足: >\n34. 单元格(4, 5) 下方的单元格应满足: >\n35. 单元格(5, 0) 右边的单元格应满足: >\n36. 单元格(5, 1) 右边的单元格应满足: <\n37. 单元格(5, 2) 右边的单元格应满足: >\n38. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[2, 3, 0, 4, 0, 0], [1, 0, 3, 0, 0, 6], [0, 5, 4, 6, 1, 0], [0, 0, 1, 0, 0, 5], [6, 1, 2, 3, 5, 4], [5, 4, 0, 0, 2, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": ">"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": ">"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[1 _ _]\n[_ _ _]\n[2 _ _]\n\n不等式约束：\n1. 单元格(1, 2) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[1, 0, 0], [0, 0, 0], [2, 0, 0]], "inequalities": [{"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 3]\n[_ 3 _]\n[_ _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(2, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 3], [0, 3, 0], [0, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 1 _ 2]\n[_ 2 _ _]\n[_ 4 1 _]\n[_ 3 _ _]\n\n不等式约束：\n1. 单元格(0, 2) 右边的单元格应满足: >\n2. 单元格(0, 3) 下方的单元格应满足: >\n3. 单元格(2, 0) 下方的单元格应满足: >\n4. 单元格(2, 1) 下方的单元格应满足: >\n5. 单元格(2, 3) 下方的单元格应满足: <\n6. 单元格(3, 1) 右边的单元格应满足: >\n7. 单元格(3, 2) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 1, 0, 2], [0, 2, 0, 0], [0, 4, 1, 0], [0, 3, 0, 0]], "inequalities": [{"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[3 _ _]\n[_ _ 3]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(2, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [3, 0, 0], [0, 0, 3]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 5 6 _ _ 3]\n[3 4 _ _ _ 1]\n[_ _ 3 _ _ 6]\n[_ 6 _ 1 3 4]\n[6 2 1 3 _ _]\n[1 3 4 5 6 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: <\n3. 单元格(0, 1) 下方的单元格应满足: >\n4. 单元格(0, 2) 下方的单元格应满足: >\n5. 单元格(0, 3) 下方的单元格应满足: <\n6. 单元格(0, 4) 右边的单元格应满足: <\n7. 单元格(0, 4) 下方的单元格应满足: <\n8. 单元格(0, 5) 下方的单元格应满足: >\n9. 单元格(1, 1) 右边的单元格应满足: <\n10. 单元格(1, 1) 下方的单元格应满足: >\n11. 单元格(1, 2) 右边的单元格应满足: <\n12. 单元格(1, 2) 下方的单元格应满足: >\n13. 单元格(1, 3) 右边的单元格应满足: >\n14. 单元格(1, 3) 下方的单元格应满足: >\n15. 单元格(1, 4) 右边的单元格应满足: >\n16. 单元格(1, 5) 下方的单元格应满足: <\n17. 单元格(2, 0) 右边的单元格应满足: >\n18. 单元格(2, 0) 下方的单元格应满足: <\n19. 单元格(2, 2) 下方的单元格应满足: >\n20. 单元格(2, 3) 右边的单元格应满足: <\n21. 单元格(2, 3) 下方的单元格应满足: >\n22. 单元格(2, 4) 右边的单元格应满足: <\n23. 单元格(3, 0) 右边的单元格应满足: <\n24. 单元格(3, 1) 下方的单元格应满足: >\n25. 单元格(3, 3) 右边的单元格应满足: <\n26. 单元格(3, 3) 下方的单元格应满足: <\n27. 单元格(3, 4) 右边的单元格应满足: <\n28. 单元格(3, 4) 下方的单元格应满足: <\n29. 单元格(3, 5) 下方的单元格应满足: <\n30. 单元格(4, 4) 右边的单元格应满足: <\n31. 单元格(4, 4) 下方的单元格应满足: <\n32. 单元格(4, 5) 下方的单元格应满足: >\n33. 单元格(5, 0) 右边的单元格应满足: <\n34. 单元格(5, 3) 右边的单元格应满足: <\n35. 单元格(5, 4) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 5, 6, 0, 0, 3], [3, 4, 0, 0, 0, 1], [0, 0, 3, 0, 0, 6], [0, 6, 0, 1, 3, 4], [6, 2, 1, 3, 0, 0], [1, 3, 4, 5, 6, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": ">"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": "<"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 3 _ _]\n[_ _ 4 _]\n[_ 4 _ 3]\n[_ 2 3 _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 2) 下方的单元格应满足: <\n3. 单元格(0, 3) 下方的单元格应满足: >\n4. 单元格(1, 0) 下方的单元格应满足: >\n5. 单元格(2, 0) 右边的单元格应满足: <\n6. 单元格(3, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 3, 0, 0], [0, 0, 4, 0], [0, 4, 0, 3], [0, 2, 3, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 1 _ 4]\n[2 _ 3 _]\n[_ _ 1 _]\n[_ 2 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(1, 1) 右边的单元格应满足: >\n3. 单元格(2, 0) 下方的单元格应满足: >\n4. 单元格(2, 2) 右边的单元格应满足: <\n5. 单元格(3, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 1, 0, 4], [2, 0, 3, 0], [0, 0, 1, 0], [0, 2, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 3 _ _]\n[_ 1 _ _]\n[_ 4 1 _]\n[1 2 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 0) 下方的单元格应满足: <\n3. 单元格(0, 2) 右边的单元格应满足: >\n4. 单元格(1, 0) 右边的单元格应满足: >\n5. 单元格(1, 1) 右边的单元格应满足: <\n6. 单元格(2, 0) 右边的单元格应满足: <\n7. 单元格(2, 1) 右边的单元格应满足: >\n8. 单元格(2, 2) 右边的单元格应满足: <\n9. 单元格(2, 3) 下方的单元格应满足: <\n10. 单元格(3, 1) 右边的单元格应满足: <\n11. 单元格(3, 2) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 3, 0, 0], [0, 1, 0, 0], [0, 4, 1, 0], [1, 2, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[2 _ 1 _]\n[_ _ 2 _]\n[_ _ 3 _]\n[3 1 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(1, 1) 下方的单元格应满足: >\n3. 单元格(2, 0) 右边的单元格应满足: >\n4. 单元格(2, 1) 下方的单元格应满足: >\n5. 单元格(2, 2) 右边的单元格应满足: >\n6. 单元格(3, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[2, 0, 1, 0], [0, 0, 2, 0], [0, 0, 3, 0], [3, 1, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 2 _ _]\n[4 _ 1 _]\n[_ 1 _ 4]\n[2 _ _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: <\n3. 单元格(0, 2) 下方的单元格应满足: >\n4. 单元格(1, 2) 右边的单元格应满足: <\n5. 单元格(1, 2) 下方的单元格应满足: <\n6. 单元格(1, 3) 下方的单元格应满足: <\n7. 单元格(2, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 2, 0, 0], [4, 0, 1, 0], [0, 1, 0, 4], [2, 0, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ 4 _]\n[_ _ 3 2]\n[_ 2 _ 4]\n[_ _ _ 1]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: <\n3. 单元格(0, 2) 下方的单元格应满足: >\n4. 单元格(1, 0) 右边的单元格应满足: <\n5. 单元格(1, 0) 下方的单元格应满足: <\n6. 单元格(1, 3) 下方的单元格应满足: <\n7. 单元格(3, 0) 右边的单元格应满足: >\n8. 单元格(3, 1) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 4, 0], [0, 0, 3, 2], [0, 2, 0, 4], [0, 0, 0, 1]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[3 _ _]\n[2 _ _]\n[_ _ _]\n\n不等式约束：\n1. 单元格(1, 0) 右边的单元格应满足: <\n2. 单元格(1, 1) 下方的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[3, 0, 0], [2, 0, 0], [0, 0, 0]], "inequalities": [{"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[3 _ 6 _ 1 2]\n[4 _ _ 3 _ 6]\n[_ _ _ _ 2 3]\n[_ 4 1 2 _ 5]\n[2 3 5 _ 4 _]\n[1 2 3 _ _ 4]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: <\n2. 单元格(0, 3) 右边的单元格应满足: >\n3. 单元格(0, 5) 下方的单元格应满足: <\n4. 单元格(1, 0) 右边的单元格应满足: >\n5. 单元格(1, 1) 右边的单元格应满足: <\n6. 单元格(1, 2) 右边的单元格应满足: <\n7. 单元格(1, 3) 右边的单元格应满足: <\n8. 单元格(1, 4) 右边的单元格应满足: <\n9. 单元格(1, 5) 下方的单元格应满足: >\n10. 单元格(2, 0) 右边的单元格应满足: <\n11. 单元格(2, 1) 右边的单元格应满足: >\n12. 单元格(2, 1) 下方的单元格应满足: >\n13. 单元格(2, 2) 右边的单元格应满足: >\n14. 单元格(2, 2) 下方的单元格应满足: >\n15. 单元格(2, 3) 下方的单元格应满足: <\n16. 单元格(2, 4) 右边的单元格应满足: <\n17. 单元格(2, 4) 下方的单元格应满足: <\n18. 单元格(3, 0) 右边的单元格应满足: >\n19. 单元格(3, 2) 右边的单元格应满足: <\n20. 单元格(3, 3) 下方的单元格应满足: <\n21. 单元格(3, 4) 右边的单元格应满足: <\n22. 单元格(3, 4) 下方的单元格应满足: <\n23. 单元格(4, 0) 右边的单元格应满足: <\n24. 单元格(4, 0) 下方的单元格应满足: >\n25. 单元格(4, 1) 右边的单元格应满足: <\n26. 单元格(4, 3) 右边的单元格应满足: >\n27. 单元格(4, 5) 下方的单元格应满足: <\n28. 单元格(5, 4) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[3, 0, 6, 0, 1, 2], [4, 0, 0, 3, 0, 6], [0, 0, 0, 0, 2, 3], [0, 4, 1, 2, 0, 5], [2, 3, 5, 0, 4, 0], [1, 2, 3, 0, 0, 4]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[5 2 _ 6 1 4]\n[4 _ 2 _ 6 _]\n[_ 3 6 _ 4 5]\n[6 _ 4 _ _ 3]\n[3 _ _ 4 _ 2]\n[1 _ 5 _ _ 6]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: <\n2. 单元格(0, 3) 右边的单元格应满足: >\n3. 单元格(0, 4) 右边的单元格应满足: <\n4. 单元格(1, 1) 右边的单元格应满足: >\n5. 单元格(1, 1) 下方的单元格应满足: >\n6. 单元格(1, 2) 下方的单元格应满足: <\n7. 单元格(1, 4) 右边的单元格应满足: >\n8. 单元格(1, 5) 下方的单元格应满足: <\n9. 单元格(2, 0) 下方的单元格应满足: <\n10. 单元格(2, 1) 下方的单元格应满足: >\n11. 单元格(2, 2) 右边的单元格应满足: >\n12. 单元格(2, 2) 下方的单元格应满足: >\n13. 单元格(2, 5) 下方的单元格应满足: >\n14. 单元格(3, 0) 下方的单元格应满足: >\n15. 单元格(3, 2) 右边的单元格应满足: <\n16. 单元格(3, 4) 下方的单元格应满足: <\n17. 单元格(4, 0) 下方的单元格应满足: >\n18. 单元格(4, 1) 右边的单元格应满足: >\n19. 单元格(4, 2) 右边的单元格应满足: <\n20. 单元格(4, 2) 下方的单元格应满足: <\n21. 单元格(4, 3) 右边的单元格应满足: <\n22. 单元格(4, 4) 右边的单元格应满足: >\n23. 单元格(5, 0) 右边的单元格应满足: <\n24. 单元格(5, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[5, 2, 0, 6, 1, 4], [4, 0, 2, 0, 6, 0], [0, 3, 6, 0, 4, 5], [6, 0, 4, 0, 0, 3], [3, 0, 0, 4, 0, 2], [1, 0, 5, 0, 0, 6]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": ">"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[1 2 _]\n[_ _ _]\n\n不等式约束：\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [1, 2, 0], [0, 0, 0]], "inequalities": []}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ _ 1]\n[_ 3 _ _]\n[_ 1 4 _]\n[1 _ 2 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 1) 下方的单元格应满足: <\n3. 单元格(0, 3) 下方的单元格应满足: <\n4. 单元格(1, 0) 下方的单元格应满足: <\n5. 单元格(1, 1) 右边的单元格应满足: >\n6. 单元格(2, 0) 右边的单元格应满足: >\n7. 单元格(2, 1) 右边的单元格应满足: <\n8. 单元格(3, 1) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 0, 1], [0, 3, 0, 0], [0, 1, 4, 0], [1, 0, 2, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 2 _ _ 5 6]\n[4 _ 6 3 _ _]\n[1 4 _ 6 _ 2]\n[5 6 _ 2 _ 4]\n[6 _ 2 1 4 _]\n[_ _ 4 5 _ 3]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 1) 下方的单元格应满足: <\n4. 单元格(0, 2) 下方的单元格应满足: <\n5. 单元格(0, 3) 右边的单元格应满足: <\n6. 单元格(0, 3) 下方的单元格应满足: >\n7. 单元格(0, 4) 右边的单元格应满足: <\n8. 单元格(0, 4) 下方的单元格应满足: >\n9. 单元格(0, 5) 下方的单元格应满足: >\n10. 单元格(1, 0) 下方的单元格应满足: >\n11. 单元格(1, 1) 右边的单元格应满足: <\n12. 单元格(1, 2) 右边的单元格应满足: >\n13. 单元格(1, 2) 下方的单元格应满足: >\n14. 单元格(1, 3) 下方的单元格应满足: <\n15. 单元格(1, 5) 下方的单元格应满足: <\n16. 单元格(2, 0) 右边的单元格应满足: <\n17. 单元格(2, 1) 下方的单元格应满足: <\n18. 单元格(2, 2) 下方的单元格应满足: >\n19. 单元格(2, 4) 右边的单元格应满足: >\n20. 单元格(2, 4) 下方的单元格应满足: >\n21. 单元格(2, 5) 下方的单元格应满足: <\n22. 单元格(3, 0) 右边的单元格应满足: <\n23. 单元格(3, 1) 右边的单元格应满足: >\n24. 单元格(3, 2) 右边的单元格应满足: >\n25. 单元格(3, 3) 右边的单元格应满足: >\n26. 单元格(3, 3) 下方的单元格应满足: >\n27. 单元格(3, 4) 右边的单元格应满足: <\n28. 单元格(3, 4) 下方的单元格应满足: <\n29. 单元格(3, 5) 下方的单元格应满足: <\n30. 单元格(4, 0) 右边的单元格应满足: >\n31. 单元格(4, 0) 下方的单元格应满足: >\n32. 单元格(4, 1) 右边的单元格应满足: >\n33. 单元格(4, 1) 下方的单元格应满足: >\n34. 单元格(4, 2) 右边的单元格应满足: >\n35. 单元格(4, 3) 右边的单元格应满足: <\n36. 单元格(4, 3) 下方的单元格应满足: <\n37. 单元格(4, 4) 右边的单元格应满足: <\n38. 单元格(5, 2) 右边的单元格应满足: <\n39. 单元格(5, 3) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 2, 0, 0, 5, 6], [4, 0, 6, 3, 0, 0], [1, 4, 0, 6, 0, 2], [5, 6, 0, 2, 0, 4], [6, 0, 2, 1, 4, 0], [0, 0, 4, 5, 0, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": ">"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ _ _ 5 6 _]\n[3 _ 5 6 2 4]\n[5 6 2 4 _ _]\n[6 2 4 _ 1 _]\n[_ _ 6 _ _ 3]\n[2 4 _ 1 5 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 1) 下方的单元格应满足: >\n4. 单元格(0, 2) 下方的单元格应满足: <\n5. 单元格(0, 4) 下方的单元格应满足: >\n6. 单元格(0, 5) 下方的单元格应满足: <\n7. 单元格(1, 1) 下方的单元格应满足: <\n8. 单元格(1, 2) 右边的单元格应满足: <\n9. 单元格(1, 2) 下方的单元格应满足: >\n10. 单元格(1, 3) 右边的单元格应满足: >\n11. 单元格(1, 3) 下方的单元格应满足: >\n12. 单元格(1, 4) 右边的单元格应满足: <\n13. 单元格(1, 4) 下方的单元格应满足: <\n14. 单元格(2, 1) 下方的单元格应满足: >\n15. 单元格(2, 2) 下方的单元格应满足: <\n16. 单元格(2, 3) 右边的单元格应满足: >\n17. 单元格(2, 3) 下方的单元格应满足: >\n18. 单元格(2, 4) 下方的单元格应满足: >\n19. 单元格(2, 5) 下方的单元格应满足: <\n20. 单元格(3, 0) 右边的单元格应满足: >\n21. 单元格(3, 0) 下方的单元格应满足: >\n22. 单元格(3, 1) 右边的单元格应满足: <\n23. 单元格(3, 1) 下方的单元格应满足: <\n24. 单元格(3, 3) 下方的单元格应满足: >\n25. 单元格(3, 4) 右边的单元格应满足: <\n26. 单元格(4, 0) 右边的单元格应满足: <\n27. 单元格(4, 0) 下方的单元格应满足: <\n28. 单元格(4, 1) 下方的单元格应满足: >\n29. 单元格(4, 2) 下方的单元格应满足: >\n30. 单元格(4, 3) 下方的单元格应满足: >\n31. 单元格(4, 4) 下方的单元格应满足: <\n32. 单元格(4, 5) 下方的单元格应满足: <\n33. 单元格(5, 1) 右边的单元格应满足: >\n34. 单元格(5, 3) 右边的单元格应满足: <\n35. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 0, 0, 5, 6, 0], [3, 0, 5, 6, 2, 4], [5, 6, 2, 4, 0, 0], [6, 2, 4, 0, 1, 0], [0, 0, 6, 0, 0, 3], [2, 4, 0, 1, 5, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": ">"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[1 6 5 _ 4 3]\n[_ 3 _ 6 5 _]\n[3 1 6 5 2 _]\n[_ _ 2 _ 3 1]\n[_ _ 3 _ 6 5]\n[_ 2 _ _ 1 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(0, 2) 右边的单元格应满足: >\n4. 单元格(1, 1) 右边的单元格应满足: >\n5. 单元格(1, 1) 下方的单元格应满足: >\n6. 单元格(1, 2) 下方的单元格应满足: <\n7. 单元格(1, 3) 下方的单元格应满足: >\n8. 单元格(1, 4) 右边的单元格应满足: >\n9. 单元格(1, 4) 下方的单元格应满足: >\n10. 单元格(2, 0) 右边的单元格应满足: >\n11. 单元格(2, 1) 下方的单元格应满足: <\n12. 单元格(2, 3) 右边的单元格应满足: >\n13. 单元格(2, 3) 下方的单元格应满足: >\n14. 单元格(2, 4) 下方的单元格应满足: <\n15. 单元格(3, 0) 右边的单元格应满足: >\n16. 单元格(3, 2) 下方的单元格应满足: <\n17. 单元格(3, 4) 下方的单元格应满足: <\n18. 单元格(4, 0) 右边的单元格应满足: <\n19. 单元格(4, 0) 下方的单元格应满足: <\n20. 单元格(4, 1) 右边的单元格应满足: >\n21. 单元格(4, 1) 下方的单元格应满足: >\n22. 单元格(4, 2) 右边的单元格应满足: >\n23. 单元格(4, 2) 下方的单元格应满足: <\n24. 单元格(4, 3) 右边的单元格应满足: <\n25. 单元格(4, 4) 下方的单元格应满足: >\n26. 单元格(4, 5) 下方的单元格应满足: <\n27. 单元格(5, 0) 右边的单元格应满足: >\n28. 单元格(5, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[1, 6, 5, 0, 4, 3], [0, 3, 0, 6, 5, 0], [3, 1, 6, 5, 2, 0], [0, 0, 2, 0, 3, 1], [0, 0, 3, 0, 6, 5], [0, 2, 0, 0, 1, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": ">"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": "<"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": ">"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[3 1 _ _]\n[_ _ _ _]\n[4 3 _ _]\n[1 2 _ _]\n\n不等式约束：\n1. 单元格(1, 0) 下方的单元格应满足: <\n2. 单元格(1, 1) 右边的单元格应满足: >\n3. 单元格(1, 2) 下方的单元格应满足: >\n4. 单元格(2, 1) 右边的单元格应满足: >\n5. 单元格(2, 2) 下方的单元格应满足: <\n6. 单元格(3, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[3, 1, 0, 0], [0, 0, 0, 0], [4, 3, 0, 0], [1, 2, 0, 0]], "inequalities": [{"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 2 3 _]\n[_ _ 1 _]\n[_ _ _ _]\n[4 _ 2 3]\n\n不等式约束：\n1. 单元格(1, 0) 右边的单元格应满足: <\n2. 单元格(2, 1) 右边的单元格应满足: <\n3. 单元格(3, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 2, 3, 0], [0, 0, 1, 0], [0, 0, 0, 0], [4, 0, 2, 3]], "inequalities": [{"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 4 _ _ 5 1]\n[4 _ 2 _ 1 3]\n[_ _ 3 _ 6 2]\n[1 _ 4 6 _ 5]\n[6 _ _ 1 3 4]\n[_ 5 1 _ 4 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(0, 2) 下方的单元格应满足: >\n4. 单元格(0, 4) 下方的单元格应满足: >\n5. 单元格(0, 5) 下方的单元格应满足: <\n6. 单元格(1, 0) 右边的单元格应满足: <\n7. 单元格(1, 0) 下方的单元格应满足: <\n8. 单元格(1, 3) 右边的单元格应满足: >\n9. 单元格(1, 4) 下方的单元格应满足: <\n10. 单元格(1, 5) 下方的单元格应满足: >\n11. 单元格(2, 1) 右边的单元格应满足: <\n12. 单元格(2, 3) 右边的单元格应满足: <\n13. 单元格(2, 3) 下方的单元格应满足: <\n14. 单元格(2, 5) 下方的单元格应满足: <\n15. 单元格(3, 0) 右边的单元格应满足: <\n16. 单元格(3, 0) 下方的单元格应满足: <\n17. 单元格(3, 1) 右边的单元格应满足: <\n18. 单元格(3, 2) 下方的单元格应满足: <\n19. 单元格(3, 3) 下方的单元格应满足: >\n20. 单元格(3, 4) 下方的单元格应满足: <\n21. 单元格(3, 5) 下方的单元格应满足: >\n22. 单元格(4, 0) 下方的单元格应满足: >\n23. 单元格(4, 1) 下方的单元格应满足: <\n24. 单元格(4, 4) 右边的单元格应满足: <\n25. 单元格(4, 4) 下方的单元格应满足: <\n26. 单元格(4, 5) 下方的单元格应满足: <\n27. 单元格(5, 1) 右边的单元格应满足: >\n28. 单元格(5, 3) 右边的单元格应满足: <\n29. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 4, 0, 0, 5, 1], [4, 0, 2, 0, 1, 3], [0, 0, 3, 0, 6, 2], [1, 0, 4, 6, 0, 5], [6, 0, 0, 1, 3, 4], [0, 5, 1, 0, 4, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ 3 _]\n[4 3 _ _]\n[_ 2 _ _]\n[_ 1 _ 3]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(0, 3) 下方的单元格应满足: >\n4. 单元格(1, 0) 下方的单元格应满足: >\n5. 单元格(1, 3) 下方的单元格应满足: <\n6. 单元格(2, 0) 下方的单元格应满足: >\n7. 单元格(2, 1) 下方的单元格应满足: >\n8. 单元格(2, 2) 下方的单元格应满足: <\n9. 单元格(3, 0) 右边的单元格应满足: >\n10. 单元格(3, 1) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 3, 0], [4, 3, 0, 0], [0, 2, 0, 0], [0, 1, 0, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 2]\n[_ _ _]\n[_ _ 1]\n\n不等式约束：\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 2], [0, 0, 0], [0, 0, 1]], "inequalities": []}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 1 _ 6 _ 2]\n[3 2 _ _ 5 6]\n[_ _ _ 3 _ 4]\n[5 6 3 2 4 _]\n[2 4 1 _ 6 3]\n[_ _ 2 _ _ 5]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: >\n2. 单元格(0, 1) 下方的单元格应满足: <\n3. 单元格(0, 2) 右边的单元格应满足: <\n4. 单元格(0, 4) 下方的单元格应满足: <\n5. 单元格(1, 1) 下方的单元格应满足: <\n6. 单元格(1, 2) 右边的单元格应满足: >\n7. 单元格(1, 3) 右边的单元格应满足: <\n8. 单元格(1, 4) 右边的单元格应满足: <\n9. 单元格(1, 4) 下方的单元格应满足: >\n10. 单元格(2, 0) 右边的单元格应满足: <\n11. 单元格(2, 1) 下方的单元格应满足: <\n12. 单元格(2, 2) 右边的单元格应满足: >\n13. 单元格(2, 3) 右边的单元格应满足: >\n14. 单元格(2, 5) 下方的单元格应满足: >\n15. 单元格(3, 0) 右边的单元格应满足: <\n16. 单元格(3, 1) 右边的单元格应满足: >\n17. 单元格(3, 1) 下方的单元格应满足: >\n18. 单元格(3, 2) 右边的单元格应满足: >\n19. 单元格(3, 2) 下方的单元格应满足: >\n20. 单元格(3, 3) 右边的单元格应满足: <\n21. 单元格(3, 4) 右边的单元格应满足: >\n22. 单元格(4, 0) 右边的单元格应满足: <\n23. 单元格(4, 0) 下方的单元格应满足: <\n24. 单元格(4, 1) 右边的单元格应满足: >\n25. 单元格(4, 1) 下方的单元格应满足: >\n26. 单元格(4, 2) 右边的单元格应满足: <\n27. 单元格(4, 2) 下方的单元格应满足: <\n28. 单元格(4, 3) 右边的单元格应满足: <\n29. 单元格(4, 3) 下方的单元格应满足: >\n30. 单元格(4, 4) 右边的单元格应满足: >\n31. 单元格(5, 1) 右边的单元格应满足: >\n32. 单元格(5, 2) 右边的单元格应满足: <\n33. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 1, 0, 6, 0, 2], [3, 2, 0, 0, 5, 6], [0, 0, 0, 3, 0, 4], [5, 6, 3, 2, 4, 0], [2, 4, 1, 0, 6, 3], [0, 0, 2, 0, 0, 5]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": ">"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": ">"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[3 _ _]\n[1 _ _]\n\n不等式约束：\n1. 单元格(1, 2) 下方的单元格应满足: <\n2. 单元格(2, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [3, 0, 0], [1, 0, 0]], "inequalities": [{"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ 3 _]\n[3 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: <\n3. 单元格(1, 0) 下方的单元格应满足: <\n4. 单元格(1, 1) 下方的单元格应满足: >\n5. 单元格(1, 2) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 3, 0], [3, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ _ _]\n[_ _ 2 4]\n[_ 3 _ _]\n[1 2 _ 3]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: >\n3. 单元格(0, 3) 下方的单元格应满足: <\n4. 单元格(2, 1) 下方的单元格应满足: >\n5. 单元格(3, 0) 右边的单元格应满足: <\n6. 单元格(3, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 0, 0], [0, 0, 2, 4], [0, 3, 0, 0], [1, 2, 0, 3]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 2 _ 3 _ _]\n[_ 5 _ 6 _ 4]\n[_ 3 5 1 6 2]\n[5 1 _ _ 4 3]\n[2 4 3 5 1 _]\n[1 _ _ _ 3 _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: >\n2. 单元格(0, 0) 下方的单元格应满足: >\n3. 单元格(0, 1) 下方的单元格应满足: <\n4. 单元格(0, 3) 右边的单元格应满足: <\n5. 单元格(0, 4) 右边的单元格应满足: >\n6. 单元格(0, 4) 下方的单元格应满足: >\n7. 单元格(1, 1) 右边的单元格应满足: >\n8. 单元格(1, 2) 右边的单元格应满足: <\n9. 单元格(1, 2) 下方的单元格应满足: <\n10. 单元格(1, 3) 右边的单元格应满足: >\n11. 单元格(1, 3) 下方的单元格应满足: >\n12. 单元格(1, 4) 右边的单元格应满足: <\n13. 单元格(1, 4) 下方的单元格应满足: <\n14. 单元格(1, 5) 下方的单元格应满足: >\n15. 单元格(2, 0) 右边的单元格应满足: >\n16. 单元格(2, 1) 右边的单元格应满足: <\n17. 单元格(2, 1) 下方的单元格应满足: >\n18. 单元格(2, 4) 下方的单元格应满足: >\n19. 单元格(2, 5) 下方的单元格应满足: <\n20. 单元格(3, 1) 右边的单元格应满足: <\n21. 单元格(3, 2) 右边的单元格应满足: >\n22. 单元格(3, 4) 右边的单元格应满足: >\n23. 单元格(4, 0) 右边的单元格应满足: <\n24. 单元格(4, 0) 下方的单元格应满足: >\n25. 单元格(4, 1) 右边的单元格应满足: >\n26. 单元格(4, 2) 右边的单元格应满足: <\n27. 单元格(4, 2) 下方的单元格应满足: >\n28. 单元格(4, 3) 右边的单元格应满足: >\n29. 单元格(4, 4) 下方的单元格应满足: <\n30. 单元格(4, 5) 下方的单元格应满足: >\n31. 单元格(5, 2) 右边的单元格应满足: <\n32. 单元格(5, 3) 右边的单元格应满足: >\n33. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 2, 0, 3, 0, 0], [0, 5, 0, 6, 0, 4], [0, 3, 5, 1, 6, 2], [5, 1, 0, 0, 4, 3], [2, 4, 3, 5, 1, 0], [1, 0, 0, 0, 3, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": ">"}, {"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": ">"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ 4 _ 2]\n[_ _ _ 1]\n[3 _ _ 4]\n[2 _ _ _]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 3) 下方的单元格应满足: >\n3. 单元格(1, 2) 下方的单元格应满足: >\n4. 单元格(1, 3) 下方的单元格应满足: <\n5. 单元格(2, 0) 右边的单元格应满足: >\n6. 单元格(2, 1) 右边的单元格应满足: >\n7. 单元格(2, 1) 下方的单元格应满足: >\n8. 单元格(2, 2) 右边的单元格应满足: <\n9. 单元格(3, 2) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 4, 0, 2], [0, 0, 0, 1], [3, 0, 0, 4], [2, 0, 0, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[3 6 _ 2 _ _]\n[_ _ 5 _ _ _]\n[2 5 _ 3 6 4]\n[_ 1 3 _ _ 2]\n[_ 4 2 _ 1 3]\n[1 3 6 4 2 _]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: >\n3. 单元格(0, 2) 右边的单元格应满足: >\n4. 单元格(0, 3) 右边的单元格应满足: <\n5. 单元格(1, 0) 右边的单元格应满足: >\n6. 单元格(1, 0) 下方的单元格应满足: >\n7. 单元格(1, 3) 右边的单元格应满足: <\n8. 单元格(1, 3) 下方的单元格应满足: <\n9. 单元格(1, 4) 右边的单元格应满足: <\n10. 单元格(1, 5) 下方的单元格应满足: >\n11. 单元格(2, 0) 右边的单元格应满足: <\n12. 单元格(2, 0) 下方的单元格应满足: <\n13. 单元格(2, 1) 右边的单元格应满足: >\n14. 单元格(2, 2) 右边的单元格应满足: <\n15. 单元格(2, 2) 下方的单元格应满足: <\n16. 单元格(2, 3) 右边的单元格应满足: <\n17. 单元格(3, 0) 右边的单元格应满足: >\n18. 单元格(3, 1) 右边的单元格应满足: <\n19. 单元格(3, 1) 下方的单元格应满足: <\n20. 单元格(3, 2) 右边的单元格应满足: <\n21. 单元格(3, 2) 下方的单元格应满足: >\n22. 单元格(3, 3) 右边的单元格应满足: >\n23. 单元格(3, 3) 下方的单元格应满足: >\n24. 单元格(4, 1) 下方的单元格应满足: >\n25. 单元格(4, 2) 右边的单元格应满足: <\n26. 单元格(4, 2) 下方的单元格应满足: <\n27. 单元格(4, 3) 下方的单元格应满足: >\n28. 单元格(4, 4) 下方的单元格应满足: <\n29. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[3, 6, 0, 2, 0, 0], [0, 0, 5, 0, 0, 0], [2, 5, 0, 3, 6, 4], [0, 1, 3, 0, 0, 2], [0, 4, 2, 0, 1, 3], [1, 3, 6, 4, 2, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": ">"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": ">"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": ">"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ 2 _]\n[_ _ _]\n[_ _ 2]\n\n不等式约束：\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 2, 0], [0, 0, 0], [0, 0, 2]], "inequalities": []}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ _ _]\n[1 _ 4 _]\n[_ _ 1 2]\n[_ 1 _ 4]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: <\n3. 单元格(0, 3) 下方的单元格应满足: <\n4. 单元格(1, 0) 右边的单元格应满足: <\n5. 单元格(1, 0) 下方的单元格应满足: <\n6. 单元格(1, 2) 右边的单元格应满足: >\n7. 单元格(1, 2) 下方的单元格应满足: >\n8. 单元格(2, 0) 下方的单元格应满足: >\n9. 单元格(3, 1) 右边的单元格应满足: <\n10. 单元格(3, 2) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 0, 0], [1, 0, 4, 0], [0, 0, 1, 2], [0, 1, 0, 4]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ 2 _]\n[1 _ _ 3]\n[_ 4 _ _]\n[4 _ _ 2]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: <\n3. 单元格(0, 2) 下方的单元格应满足: <\n4. 单元格(1, 0) 右边的单元格应满足: <\n5. 单元格(1, 1) 右边的单元格应满足: <\n6. 单元格(1, 1) 下方的单元格应满足: <\n7. 单元格(1, 2) 右边的单元格应满足: >\n8. 单元格(1, 2) 下方的单元格应满足: >\n9. 单元格(2, 2) 下方的单元格应满足: >\n10. 单元格(2, 3) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 2, 0], [1, 0, 0, 3], [0, 4, 0, 0], [4, 0, 0, 2]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ _ _]\n[1 2 _]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: <\n3. 单元格(1, 0) 下方的单元格应满足: >\n4. 单元格(1, 1) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 0, 0], [1, 2, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ _ _]\n[_ 3 2]\n\n不等式约束：\n1. 单元格(1, 0) 右边的单元格应满足: >\n2. 单元格(2, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 0, 0], [0, 3, 2]], "inequalities": [{"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ _ _]\n[4 3 _ 1]\n[3 2 _ _]\n[_ 4 _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: <\n3. 单元格(0, 2) 右边的单元格应满足: >\n4. 单元格(1, 2) 右边的单元格应满足: >\n5. 单元格(2, 1) 下方的单元格应满足: <\n6. 单元格(3, 0) 右边的单元格应满足: <\n7. 单元格(3, 1) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 0, 0], [4, 3, 0, 1], [3, 2, 0, 0], [0, 4, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[1 5 3 2 4 _]\n[5 3 2 _ 6 _]\n[_ 2 _ _ _ 5]\n[2 _ 6 1 _ 3]\n[6 _ 5 _ _ 4]\n[_ _ 1 5 _ 2]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: <\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(0, 3) 下方的单元格应满足: <\n4. 单元格(0, 4) 下方的单元格应满足: <\n5. 单元格(1, 0) 右边的单元格应满足: >\n6. 单元格(1, 0) 下方的单元格应满足: >\n7. 单元格(1, 1) 右边的单元格应满足: >\n8. 单元格(1, 3) 右边的单元格应满足: <\n9. 单元格(1, 4) 右边的单元格应满足: >\n10. 单元格(2, 0) 右边的单元格应满足: >\n11. 单元格(2, 1) 下方的单元格应满足: <\n12. 单元格(2, 2) 右边的单元格应满足: <\n13. 单元格(2, 2) 下方的单元格应满足: <\n14. 单元格(2, 3) 右边的单元格应满足: >\n15. 单元格(2, 5) 下方的单元格应满足: >\n16. 单元格(3, 1) 下方的单元格应满足: >\n17. 单元格(3, 4) 右边的单元格应满足: >\n18. 单元格(3, 4) 下方的单元格应满足: >\n19. 单元格(3, 5) 下方的单元格应满足: <\n20. 单元格(4, 0) 右边的单元格应满足: >\n21. 单元格(4, 1) 下方的单元格应满足: <\n22. 单元格(4, 2) 右边的单元格应满足: >\n23. 单元格(4, 3) 右边的单元格应满足: >\n24. 单元格(4, 3) 下方的单元格应满足: <\n25. 单元格(4, 5) 下方的单元格应满足: >\n26. 单元格(5, 3) 右边的单元格应满足: >\n27. 单元格(5, 4) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[1, 5, 3, 2, 4, 0], [5, 3, 2, 0, 6, 0], [0, 2, 0, 0, 0, 5], [2, 0, 6, 1, 0, 3], [6, 0, 5, 0, 0, 4], [0, 0, 1, 5, 0, 2]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": ">"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": ">"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ 2 _]\n[2 _ _]\n[_ _ _]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: <\n2. 单元格(0, 2) 下方的单元格应满足: >\n3. 单元格(2, 0) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 2, 0], [2, 0, 0], [0, 0, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ _]\n[_ _ _]\n[_ 1 3]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 1) 右边的单元格应满足: >\n3. 单元格(1, 2) 下方的单元格应满足: <\n4. 单元格(2, 1) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 0], [0, 0, 0], [0, 1, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 2]\n[_ _ _]\n[_ _ 1]\n\n不等式约束：\n1. 单元格(0, 2) 下方的单元格应满足: <\n2. 单元格(1, 1) 下方的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 2], [0, 0, 0], [0, 0, 1]], "inequalities": [{"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[3 6 _ 4 5 2]\n[_ 2 _ _ 1 4]\n[6 1 4 5 _ _]\n[_ 5 _ _ 6 1]\n[1 _ 5 2 _ _]\n[_ 3 _ _ 4 5]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 1) 下方的单元格应满足: >\n3. 单元格(0, 3) 右边的单元格应满足: <\n4. 单元格(0, 4) 下方的单元格应满足: >\n5. 单元格(1, 0) 右边的单元格应满足: >\n6. 单元格(1, 0) 下方的单元格应满足: <\n7. 单元格(1, 1) 右边的单元格应满足: <\n8. 单元格(1, 2) 右边的单元格应满足: <\n9. 单元格(1, 3) 右边的单元格应满足: >\n10. 单元格(1, 3) 下方的单元格应满足: >\n11. 单元格(1, 4) 下方的单元格应满足: <\n12. 单元格(1, 5) 下方的单元格应满足: >\n13. 单元格(2, 0) 右边的单元格应满足: >\n14. 单元格(2, 0) 下方的单元格应满足: >\n15. 单元格(2, 2) 下方的单元格应满足: >\n16. 单元格(2, 3) 右边的单元格应满足: >\n17. 单元格(2, 4) 下方的单元格应满足: <\n18. 单元格(3, 0) 右边的单元格应满足: <\n19. 单元格(3, 1) 下方的单元格应满足: >\n20. 单元格(3, 2) 右边的单元格应满足: <\n21. 单元格(3, 4) 右边的单元格应满足: >\n22. 单元格(4, 0) 右边的单元格应满足: <\n23. 单元格(4, 0) 下方的单元格应满足: <\n24. 单元格(4, 1) 右边的单元格应满足: <\n25. 单元格(4, 2) 右边的单元格应满足: >\n26. 单元格(4, 3) 右边的单元格应满足: <\n27. 单元格(4, 4) 下方的单元格应满足: <\n28. 单元格(4, 5) 下方的单元格应满足: >\n29. 单元格(5, 0) 右边的单元格应满足: <\n30. 单元格(5, 1) 右边的单元格应满足: <\n31. 单元格(5, 2) 右边的单元格应满足: >\n32. 单元格(5, 3) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[3, 6, 0, 4, 5, 2], [0, 2, 0, 0, 1, 4], [6, 1, 4, 5, 0, 0], [0, 5, 0, 0, 6, 1], [1, 0, 5, 2, 0, 0], [0, 3, 0, 0, 4, 5]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": ">"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": ">"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 0], "cell2": [5, 1], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（4x4，0表示空格）:\n[_ _ 2 _]\n[4 _ 3 _]\n[_ _ 1 3]\n[_ 2 _ _]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: >\n2. 单元格(0, 2) 右边的单元格应满足: <\n3. 单元格(1, 1) 下方的单元格应满足: <\n4. 单元格(1, 2) 右边的单元格应满足: >\n5. 单元格(1, 2) 下方的单元格应满足: >\n6. 单元格(2, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 4, "initial": [[0, 0, 2, 0], [4, 0, 3, 0], [0, 0, 1, 3], [0, 2, 0, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[6 5 1 4 _ 2]\n[2 6 5 1 4 3]\n[1 _ _ 2 _ 5]\n[_ 3 2 6 _ 1]\n[_ 1 4 3 _ _]\n[_ _ _ _ _ _]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: >\n2. 单元格(0, 0) 下方的单元格应满足: >\n3. 单元格(0, 3) 右边的单元格应满足: >\n4. 单元格(0, 3) 下方的单元格应满足: >\n5. 单元格(0, 4) 右边的单元格应满足: >\n6. 单元格(0, 5) 下方的单元格应满足: <\n7. 单元格(1, 1) 下方的单元格应满足: >\n8. 单元格(1, 2) 右边的单元格应满足: >\n9. 单元格(1, 2) 下方的单元格应满足: >\n10. 单元格(1, 3) 下方的单元格应满足: <\n11. 单元格(1, 4) 右边的单元格应满足: >\n12. 单元格(1, 5) 下方的单元格应满足: <\n13. 单元格(2, 0) 下方的单元格应满足: <\n14. 单元格(2, 1) 下方的单元格应满足: >\n15. 单元格(2, 2) 右边的单元格应满足: >\n16. 单元格(2, 2) 下方的单元格应满足: >\n17. 单元格(2, 3) 右边的单元格应满足: <\n18. 单元格(2, 4) 下方的单元格应满足: >\n19. 单元格(2, 5) 下方的单元格应满足: >\n20. 单元格(3, 0) 右边的单元格应满足: >\n21. 单元格(3, 1) 右边的单元格应满足: >\n22. 单元格(3, 1) 下方的单元格应满足: >\n23. 单元格(3, 3) 右边的单元格应满足: >\n24. 单元格(3, 3) 下方的单元格应满足: >\n25. 单元格(4, 1) 下方的单元格应满足: <\n26. 单元格(4, 2) 下方的单元格应满足: <\n27. 单元格(4, 3) 右边的单元格应满足: >\n28. 单元格(4, 5) 下方的单元格应满足: >\n29. 单元格(5, 1) 右边的单元格应满足: <\n30. 单元格(5, 2) 右边的单元格应满足: >\n31. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[6, 5, 1, 4, 0, 2], [2, 6, 5, 1, 4, 3], [1, 0, 0, 2, 0, 5], [0, 3, 2, 6, 0, 1], [0, 1, 4, 3, 0, 0], [0, 0, 0, 0, 0, 0]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": ">"}, {"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": ">"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": "<"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": ">"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 3], "cell2": [3, 4], "symbol": ">"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[4 _ 3 5 _ 6]\n[_ 6 4 1 3 5]\n[_ 4 _ 3 _ _]\n[1 _ 5 _ 6 4]\n[_ _ _ _ 4 1]\n[_ 2 6 4 1 _]\n\n不等式约束：\n1. 单元格(0, 1) 右边的单元格应满足: <\n2. 单元格(0, 2) 右边的单元格应满足: <\n3. 单元格(0, 2) 下方的单元格应满足: <\n4. 单元格(0, 3) 下方的单元格应满足: >\n5. 单元格(0, 4) 右边的单元格应满足: <\n6. 单元格(0, 5) 下方的单元格应满足: >\n7. 单元格(1, 0) 右边的单元格应满足: <\n8. 单元格(1, 0) 下方的单元格应满足: <\n9. 单元格(1, 1) 右边的单元格应满足: >\n10. 单元格(1, 2) 右边的单元格应满足: >\n11. 单元格(1, 3) 右边的单元格应满足: <\n12. 单元格(1, 3) 下方的单元格应满足: <\n13. 单元格(1, 4) 右边的单元格应满足: <\n14. 单元格(2, 0) 右边的单元格应满足: >\n15. 单元格(2, 0) 下方的单元格应满足: >\n16. 单元格(2, 1) 右边的单元格应满足: >\n17. 单元格(2, 2) 右边的单元格应满足: <\n18. 单元格(2, 2) 下方的单元格应满足: <\n19. 单元格(2, 3) 右边的单元格应满足: <\n20. 单元格(2, 4) 下方的单元格应满足: <\n21. 单元格(2, 5) 下方的单元格应满足: <\n22. 单元格(3, 0) 右边的单元格应满足: <\n23. 单元格(3, 0) 下方的单元格应满足: <\n24. 单元格(3, 1) 下方的单元格应满足: <\n25. 单元格(3, 3) 下方的单元格应满足: <\n26. 单元格(3, 4) 右边的单元格应满足: >\n27. 单元格(4, 0) 右边的单元格应满足: <\n28. 单元格(4, 0) 下方的单元格应满足: <\n29. 单元格(4, 2) 右边的单元格应满足: <\n30. 单元格(4, 2) 下方的单元格应满足: <\n31. 单元格(4, 3) 右边的单元格应满足: >\n32. 单元格(4, 3) 下方的单元格应满足: >\n33. 单元格(4, 4) 右边的单元格应满足: >\n34. 单元格(5, 1) 右边的单元格应满足: <\n35. 单元格(5, 4) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[4, 0, 3, 5, 0, 6], [0, 6, 4, 1, 3, 5], [0, 4, 0, 3, 0, 0], [1, 0, 5, 0, 6, 4], [0, 0, 0, 0, 4, 1], [0, 2, 6, 4, 1, 0]], "inequalities": [{"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": ">"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": "<"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [3, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": ">"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（3x3，0表示空格）:\n[_ _ 2]\n[2 _ _]\n[_ _ _]\n\n不等式约束：\n1. 单元格(1, 0) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 3, "initial": [[0, 0, 2], [2, 0, 0], [0, 0, 0]], "inequalities": [{"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ _ 6 _ 4 3]\n[1 _ _ _ 3 5]\n[3 5 1 6 2 _]\n[_ 4 _ 5 _ 6]\n[6 2 4 _ _ _]\n[4 3 5 _ _ 2]\n\n不等式约束：\n1. 单元格(0, 0) 下方的单元格应满足: >\n2. 单元格(0, 1) 右边的单元格应满足: <\n3. 单元格(0, 1) 下方的单元格应满足: <\n4. 单元格(0, 3) 下方的单元格应满足: <\n5. 单元格(0, 4) 右边的单元格应满足: >\n6. 单元格(1, 2) 右边的单元格应满足: <\n7. 单元格(1, 3) 下方的单元格应满足: <\n8. 单元格(2, 0) 下方的单元格应满足: >\n9. 单元格(2, 1) 右边的单元格应满足: >\n10. 单元格(2, 2) 右边的单元格应满足: <\n11. 单元格(2, 2) 下方的单元格应满足: <\n12. 单元格(2, 3) 右边的单元格应满足: >\n13. 单元格(2, 3) 下方的单元格应满足: >\n14. 单元格(2, 4) 下方的单元格应满足: >\n15. 单元格(2, 5) 下方的单元格应满足: <\n16. 单元格(3, 0) 下方的单元格应满足: <\n17. 单元格(3, 1) 右边的单元格应满足: >\n18. 单元格(3, 2) 下方的单元格应满足: <\n19. 单元格(3, 5) 下方的单元格应满足: >\n20. 单元格(4, 0) 下方的单元格应满足: >\n21. 单元格(4, 1) 右边的单元格应满足: <\n22. 单元格(4, 1) 下方的单元格应满足: <\n23. 单元格(4, 2) 下方的单元格应满足: <\n24. 单元格(4, 3) 右边的单元格应满足: <\n25. 单元格(4, 4) 下方的单元格应满足: <\n26. 单元格(5, 1) 右边的单元格应满足: <\n27. 单元格(5, 3) 右边的单元格应满足: <\n28. 单元格(5, 4) 右边的单元格应满足: >\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 0, 6, 0, 4, 3], [1, 0, 0, 0, 3, 5], [3, 5, 1, 6, 2, 0], [0, 4, 0, 5, 0, 6], [6, 2, 4, 0, 0, 0], [4, 3, 5, 0, 0, 2]], "inequalities": [{"cell1": [0, 0], "cell2": [1, 0], "symbol": ">"}, {"cell1": [0, 1], "cell2": [0, 2], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": ">"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": ">"}, {"cell1": [2, 5], "cell2": [3, 5], "symbol": "<"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": "<"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": ">"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": "<"}, {"cell1": [4, 1], "cell2": [5, 1], "symbol": "<"}, {"cell1": [4, 2], "cell2": [5, 2], "symbol": "<"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}, {"cell1": [5, 4], "cell2": [5, 5], "symbol": ">"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[2 _ _ _ _ _]\n[_ 5 _ 4 2 6]\n[6 3 5 1 4 _]\n[_ 2 6 _ 5 _]\n[1 4 2 _ 3 _]\n[_ 1 4 _ 6 3]\n\n不等式约束：\n1. 单元格(0, 0) 右边的单元格应满足: <\n2. 单元格(0, 0) 下方的单元格应满足: <\n3. 单元格(0, 1) 下方的单元格应满足: >\n4. 单元格(0, 2) 右边的单元格应满足: <\n5. 单元格(0, 2) 下方的单元格应满足: >\n6. 单元格(0, 4) 右边的单元格应满足: <\n7. 单元格(0, 4) 下方的单元格应满足: <\n8. 单元格(0, 5) 下方的单元格应满足: <\n9. 单元格(1, 0) 右边的单元格应满足: <\n10. 单元格(1, 0) 下方的单元格应满足: <\n11. 单元格(1, 2) 下方的单元格应满足: <\n12. 单元格(1, 3) 右边的单元格应满足: >\n13. 单元格(1, 4) 右边的单元格应满足: <\n14. 单元格(2, 2) 右边的单元格应满足: >\n15. 单元格(2, 3) 右边的单元格应满足: <\n16. 单元格(2, 4) 下方的单元格应满足: <\n17. 单元格(3, 0) 下方的单元格应满足: >\n18. 单元格(3, 1) 右边的单元格应满足: <\n19. 单元格(3, 1) 下方的单元格应满足: <\n20. 单元格(3, 2) 右边的单元格应满足: >\n21. 单元格(3, 2) 下方的单元格应满足: >\n22. 单元格(3, 3) 下方的单元格应满足: <\n23. 单元格(3, 4) 下方的单元格应满足: >\n24. 单元格(4, 0) 下方的单元格应满足: <\n25. 单元格(4, 1) 右边的单元格应满足: >\n26. 单元格(4, 3) 右边的单元格应满足: >\n27. 单元格(4, 5) 下方的单元格应满足: >\n28. 单元格(5, 1) 右边的单元格应满足: <\n29. 单元格(5, 2) 右边的单元格应满足: >\n30. 单元格(5, 3) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[2, 0, 0, 0, 0, 0], [0, 5, 0, 4, 2, 6], [6, 3, 5, 1, 4, 0], [0, 2, 6, 0, 5, 0], [1, 4, 2, 0, 3, 0], [0, 1, 4, 0, 6, 3]], "inequalities": [{"cell1": [0, 0], "cell2": [0, 1], "symbol": "<"}, {"cell1": [0, 0], "cell2": [1, 0], "symbol": "<"}, {"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": "<"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [0, 5], "cell2": [1, 5], "symbol": "<"}, {"cell1": [1, 0], "cell2": [1, 1], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": "<"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": ">"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 4], "cell2": [3, 4], "symbol": "<"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": ">"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": ">"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": "<"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": ">"}, {"cell1": [4, 3], "cell2": [4, 4], "symbol": ">"}, {"cell1": [4, 5], "cell2": [5, 5], "symbol": ">"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": ">"}, {"cell1": [5, 3], "cell2": [5, 4], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[1 2 6 3 4 _]\n[2 6 3 4 _ _]\n[6 3 _ _ _ 2]\n[_ _ 1 _ 6 3]\n[3 _ 5 _ _ 6]\n[_ _ 2 6 3 _]\n\n不等式约束：\n1. 单元格(0, 2) 右边的单元格应满足: >\n2. 单元格(0, 2) 下方的单元格应满足: >\n3. 单元格(0, 3) 下方的单元格应满足: <\n4. 单元格(0, 4) 右边的单元格应满足: <\n5. 单元格(0, 4) 下方的单元格应满足: <\n6. 单元格(1, 0) 下方的单元格应满足: <\n7. 单元格(1, 1) 右边的单元格应满足: >\n8. 单元格(1, 2) 右边的单元格应满足: <\n9. 单元格(1, 2) 下方的单元格应满足: <\n10. 单元格(1, 3) 下方的单元格应满足: <\n11. 单元格(1, 4) 右边的单元格应满足: >\n12. 单元格(2, 0) 右边的单元格应满足: >\n13. 单元格(2, 0) 下方的单元格应满足: >\n14. 单元格(2, 2) 下方的单元格应满足: >\n15. 单元格(2, 3) 下方的单元格应满足: >\n16. 单元格(3, 0) 下方的单元格应满足: >\n17. 单元格(3, 1) 右边的单元格应满足: >\n18. 单元格(3, 1) 下方的单元格应满足: >\n19. 单元格(3, 2) 右边的单元格应满足: <\n20. 单元格(3, 2) 下方的单元格应满足: <\n21. 单元格(3, 3) 下方的单元格应满足: >\n22. 单元格(3, 5) 下方的单元格应满足: <\n23. 单元格(4, 0) 右边的单元格应满足: <\n24. 单元格(4, 1) 右边的单元格应满足: <\n25. 单元格(4, 2) 右边的单元格应满足: >\n26. 单元格(4, 3) 下方的单元格应满足: <\n27. 单元格(4, 4) 右边的单元格应满足: <\n28. 单元格(5, 1) 右边的单元格应满足: <\n29. 单元格(5, 2) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[1, 2, 6, 3, 4, 0], [2, 6, 3, 4, 0, 0], [6, 3, 0, 0, 0, 2], [0, 0, 1, 0, 6, 3], [3, 0, 5, 0, 0, 6], [0, 0, 2, 6, 3, 0]], "inequalities": [{"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 2], "cell2": [1, 2], "symbol": ">"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [0, 4], "cell2": [0, 5], "symbol": "<"}, {"cell1": [0, 4], "cell2": [1, 4], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": ">"}, {"cell1": [1, 2], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": "<"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [1, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": ">"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": ">"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": ">"}, {"cell1": [2, 3], "cell2": [3, 3], "symbol": ">"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": ">"}, {"cell1": [3, 1], "cell2": [4, 1], "symbol": ">"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 5], "cell2": [4, 5], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": "<"}, {"cell1": [4, 1], "cell2": [4, 2], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 4], "cell2": [4, 5], "symbol": "<"}, {"cell1": [5, 1], "cell2": [5, 2], "symbol": "<"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}]}}
{"data_source": "Futoshiki", "prompt": "你是Futoshiki谜题专家，请根据以下条件解开谜题：\n\n规则说明：\n1. 填充1到N的整数（N为网格大小），满足：\n - 每行和每列数字不重复\n - 遵守所有不等式约束（>表示左边/上边数字更大）\n\n初始网格（6x6，0表示空格）:\n[_ 6 _ _ 5 1]\n[1 _ _ 3 2 _]\n[2 _ _ 4 _ 3]\n[5 1 4 6 3 2]\n[_ 2 _ _ 4 _]\n[6 3 _ _ 1 4]\n\n不等式约束：\n1. 单元格(0, 1) 下方的单元格应满足: >\n2. 单元格(0, 2) 右边的单元格应满足: >\n3. 单元格(0, 3) 右边的单元格应满足: <\n4. 单元格(0, 3) 下方的单元格应满足: <\n5. 单元格(1, 0) 下方的单元格应满足: <\n6. 单元格(1, 1) 右边的单元格应满足: <\n7. 单元格(1, 1) 下方的单元格应满足: <\n8. 单元格(1, 2) 下方的单元格应满足: >\n9. 单元格(1, 3) 右边的单元格应满足: >\n10. 单元格(1, 3) 下方的单元格应满足: <\n11. 单元格(1, 4) 下方的单元格应满足: <\n12. 单元格(1, 5) 下方的单元格应满足: >\n13. 单元格(2, 0) 右边的单元格应满足: <\n14. 单元格(2, 0) 下方的单元格应满足: <\n15. 单元格(2, 1) 右边的单元格应满足: >\n16. 单元格(2, 1) 下方的单元格应满足: >\n17. 单元格(2, 2) 右边的单元格应满足: <\n18. 单元格(2, 2) 下方的单元格应满足: <\n19. 单元格(2, 3) 右边的单元格应满足: <\n20. 单元格(2, 4) 右边的单元格应满足: >\n21. 单元格(3, 0) 右边的单元格应满足: >\n22. 单元格(3, 0) 下方的单元格应满足: >\n23. 单元格(3, 1) 右边的单元格应满足: <\n24. 单元格(3, 2) 右边的单元格应满足: <\n25. 单元格(3, 2) 下方的单元格应满足: <\n26. 单元格(3, 3) 下方的单元格应满足: >\n27. 单元格(3, 4) 下方的单元格应满足: <\n28. 单元格(4, 0) 右边的单元格应满足: >\n29. 单元格(4, 0) 下方的单元格应满足: <\n30. 单元格(4, 2) 右边的单元格应满足: >\n31. 单元格(4, 3) 下方的单元格应满足: <\n32. 单元格(4, 4) 下方的单元格应满足: >\n33. 单元格(5, 2) 右边的单元格应满足: <\n\n将完整解答的二维数组放在[answer]标签内，例如：\n[answer]\n[[1,2,3],\n[2,3,1],\n[3,1,2]]\n[/answer]", "ground_truth": {"size": 6, "initial": [[0, 6, 0, 0, 5, 1], [1, 0, 0, 3, 2, 0], [2, 0, 0, 4, 0, 3], [5, 1, 4, 6, 3, 2], [0, 2, 0, 0, 4, 0], [6, 3, 0, 0, 1, 4]], "inequalities": [{"cell1": [0, 1], "cell2": [1, 1], "symbol": ">"}, {"cell1": [0, 2], "cell2": [0, 3], "symbol": ">"}, {"cell1": [0, 3], "cell2": [0, 4], "symbol": "<"}, {"cell1": [0, 3], "cell2": [1, 3], "symbol": "<"}, {"cell1": [1, 0], "cell2": [2, 0], "symbol": "<"}, {"cell1": [1, 1], "cell2": [1, 2], "symbol": "<"}, {"cell1": [1, 1], "cell2": [2, 1], "symbol": "<"}, {"cell1": [1, 2], "cell2": [2, 2], "symbol": ">"}, {"cell1": [1, 3], "cell2": [1, 4], "symbol": ">"}, {"cell1": [1, 3], "cell2": [2, 3], "symbol": "<"}, {"cell1": [1, 4], "cell2": [2, 4], "symbol": "<"}, {"cell1": [1, 5], "cell2": [2, 5], "symbol": ">"}, {"cell1": [2, 0], "cell2": [2, 1], "symbol": "<"}, {"cell1": [2, 0], "cell2": [3, 0], "symbol": "<"}, {"cell1": [2, 1], "cell2": [2, 2], "symbol": ">"}, {"cell1": [2, 1], "cell2": [3, 1], "symbol": ">"}, {"cell1": [2, 2], "cell2": [2, 3], "symbol": "<"}, {"cell1": [2, 2], "cell2": [3, 2], "symbol": "<"}, {"cell1": [2, 3], "cell2": [2, 4], "symbol": "<"}, {"cell1": [2, 4], "cell2": [2, 5], "symbol": ">"}, {"cell1": [3, 0], "cell2": [3, 1], "symbol": ">"}, {"cell1": [3, 0], "cell2": [4, 0], "symbol": ">"}, {"cell1": [3, 1], "cell2": [3, 2], "symbol": "<"}, {"cell1": [3, 2], "cell2": [3, 3], "symbol": "<"}, {"cell1": [3, 2], "cell2": [4, 2], "symbol": "<"}, {"cell1": [3, 3], "cell2": [4, 3], "symbol": ">"}, {"cell1": [3, 4], "cell2": [4, 4], "symbol": "<"}, {"cell1": [4, 0], "cell2": [4, 1], "symbol": ">"}, {"cell1": [4, 0], "cell2": [5, 0], "symbol": "<"}, {"cell1": [4, 2], "cell2": [4, 3], "symbol": ">"}, {"cell1": [4, 3], "cell2": [5, 3], "symbol": "<"}, {"cell1": [4, 4], "cell2": [5, 4], "symbol": ">"}, {"cell1": [5, 2], "cell2": [5, 3], "symbol": "<"}]}}
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